1100330000121 has 64 divisors (see below), whose sum is σ = 1637137474560. Its totient is φ = 651733954560.

The previous prime is 1100330000083. The next prime is 1100330000129. The reversal of 1100330000121 is 1210000330011.

It is not a de Polignac number, because 1100330000121 - 2¹⁵ = 1100329967353 is a prime.

It is a super-2 number, since 2×1100330000121² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100330000097 and 1100330000106.

It is not an unprimeable number, because it can be changed into a prime (1100330000129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 414123625 + ... + 414126281.

It is an arithmetic number, because the mean of its divisors is an integer number (25580273040).

Almost surely, 2^{1100330000121} is an apocalyptic number.

1100330000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100330000121 is a deficient number, since it is larger than the sum of its proper divisors (536807474439).

1100330000121 is a wasteful number, since it uses less digits than its factorization.

1100330000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1100330000121 its reverse (1210000330011), we get a palindrome (2310330330132).

The spelling of 1100330000121 in words is "one trillion, one hundred billion, three hundred thirty million, one hundred twenty-one", and thus it is an aban number.